High School

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A student measures a pressure of 743 mmHg. Which of the following pressures represent the same pressure but expressed in other units?

1. 0.979 bar
2. 14.4 psi
3. 0.978 atm
4. 99.1 kPa
5. 98400 Pa
6. 30.1 inHg

Answer :

Of the listed pressures, 0.978 atm, 99.1 kPa, and 98400 Pa represent the same pressure as 743 mmHg in different units. The conversions are based on known pressure equivalencies, and these are the values that closely match the pressure when converted from mmHg.

To determine which of the listed pressures represent the same pressure as 743 mmHg in different units, we need to use various conversion factors to interconvert between pressure units based on the equivalencies stated:

  • 1 atm = 760 mmHg
  • 1 atm = 101.325 kPa
  • 1 atm = 14.7 psi
  • 1 mmHg = 1 torr
  • 1 bar = 100 kPa

Working through the conversions:

  1. 743 mmHg to bar: 743 mmHg / 760 mmHg/atm * 1.01325 bar/atm = 0.996 bar
  2. 743 mmHg to psi: 743 mmHg / 760 mmHg/atm * 14.7 psi/atm = 14.3 psi
  3. 743 mmHg to atm: 743 mmHg / 760 mmHg = 0.978 atm
  4. 743 mmHg to kPa: 743 mmHg / 760 mmHg/atm * 101.325 kPa/atm = 99.2 kPa
  5. 743 mmHg to Pa: 743 mmHg / 760 mmHg/atm * 101325 Pa/atm = 99229 Pa
  6. 743 mmHg to inHg: 743 mmHg * 1 inHg/25.4 mmHg = 29.3 inHg

Therefore, based on the student's measurement:

  • 0.978 atm correctly represents 743 mmHg in atmospheres (3).
  • 99.1 kPa is approximately equal to the converted kPa value for 743 mmHg (4).
  • 98400 Pa is very close to the converted Pa value for 743 mmHg (5).

The other units listed do not correspond as closely to the pressure of 743 mmHg when converted.

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